Question

# The number of words, that can be formed by using all letters of the word DAUGHTER, if relative order of vowels and consonants remains same, are

A
2880
B
6720
C
720
D
3600

Solution

## The correct option is C $$720$$The given word consist of 8 different letters in which $$3$$ are vowels and $$5$$ are consonants.The relative position of vowel and consonants remain same means that vowel can take place of vowel and consonants to take place of consonants.Now the $$3$$ vowels can be arranged among themselves in $$3!=3!2!1!=6$$ waysThe $$5$$ consonants can be arranged among themselves in $$5!=5!4!3!2!1!=120$$ways$$\therefore$$The total numbers of words that  can be formed$$=120\times 6=720$$ Maths

Suggest Corrections

0

Similar questions
View More

People also searched for
View More